Work and gravity (a) How much work does it take to lift a mass m a distance y against Earth's gravitational field? Calculate this starting with the integral definition of work: W = F di (b) At a height y, how much potential energy is stored? (c) If you drop the object from a height y, what speed will the object hit the ground with?
Work and gravity (a) How much work does it take to lift a mass m a distance y against Earth's gravitational field? Calculate this starting with the integral definition of work: W = F di (b) At a height y, how much potential energy is stored? (c) If you drop the object from a height y, what speed will the object hit the ground with?
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Transcribed Image Text:Work and gravity
(a) How much work does it take to lift a mass m a distance y against Earth's
gravitational field? Calculate this starting with the integral definition of
work:
W =
F. di
(b) At a height y, how much potential energy is stored?
(c) If you drop the object from a height y, what speed will the object hit the
ground with?
(d) Now, calculate the work it takes to move a mass m under the influence of the
sun's gravity, from a distance r (far from the sun) to infinity. Let the sun have
mass M.
(e) How much gravitational potential energy is thus stored a distance r from the
sun?
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